# Solving Systems of Differential Equations

Is it possible for SageMath to find a general solution for p in terms of x (or p in terms of t) given this system of differential equations?

https://quicklatex.com/cache3/02/ql_8...

WARNING :Corrected a typo from a previous version ...FWIW, the ODE system is :

$$ \left[\frac{\partial^{2}}{(\partial x)^{2}}p\left(x\right) = \frac{5 \, p\left(x\right)}{5 \, p\left(x\right)^{2} + 4 \, t\left(x\right)^{2}}, \frac{\partial^{2}}{(\partial x)^{2}}t\left(x\right) = -\frac{4 \, t\left(x\right)}{5 \, p\left(x\right)^{2} + 4 \, t\left(x\right)^{2}}, \frac{\partial}{\partial x}t\left(x\right) = \frac{1}{5 \, p\left(x\right)^{2} + 4 \, t\left(x\right)^{2}} + \frac{\partial}{\partial x}p\left(x\right)\right] $$

Is there anything more than that I would have to enter to specify that I want it to be solved?